Answer
3
Work Step by Step
Using the equation for the area of a square and factoring:
$$30=(x)(3x+1) \\ 30=3x^2 +x \\ 0 = 3x^2 +x -30 \\0=( 3x+10)(x−3)\\x=3$$
**Note, we only consider the positive solution since length cannot be negative.
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 4 Quadratic Functions and Factoring - 4.4 Solve ax(squared) + bx + c = 0 by Factoring - 4.4 Exercises - Skill Practice - Page 264: 51
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